Nonlinear effects in memristors with mobile vacancies

Because local concentration of vacancies in any material is bounded, their motion must be accompanied by nonlinear effects. Here, we look for such effects in a simple model for electric field-driven vacancy motion in a memristor, solving the corresponding nonlinear Burgers' equation with imperm...

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Bibliographic Details
Published in:Royal Society open science 2021-10, Vol.8 (10), p.210677-210677
Main Authors: Boylo, I V, Metlov, K L
Format: Article
Language:English
Subjects:
Burgers’ equation
memristor
mobile vacancies
Physics and Biophysics
switching time
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Summary:Because local concentration of vacancies in any material is bounded, their motion must be accompanied by nonlinear effects. Here, we look for such effects in a simple model for electric field-driven vacancy motion in a memristor, solving the corresponding nonlinear Burgers' equation with impermeable nonlinear boundary conditions exactly. We find non-monotonous relaxation of the resistance while switching between the stable ('on' and 'off') states, and qualitatively different dependencies of switching time (under applied current) and relaxation time (under no current) on the memristor length. Our solution can serve as a useful benchmark for simulations of more complex memristor models.
ISSN:2054-5703
2054-5703
DOI:10.1098/rsos.210677